0^0 is not defined, for the reason you point out: for positive values of x, x^0 is always equal to 1, but 0^x is always equal to 0, so there's no way to define a value of 0^0 that will make sense. On official questions, you'll never need to consider what 0^0 is; the question will always give restrictions on the values of your unknowns so that 0^0 need not be considered.

MBA.Aspirant wrote:yep its defined in the question.

x^y and |y|^x. x>1 and y<0.

but as a funny trivia try typing 0^0 in google

Also this article says it's = 1: https://www.facebook.com/l.php?u=http%3 ... ml&h=41c5b

If you read that text, it makes clear there no universally agreed view on the value of 0^0. If 0^0 were defined to have a value, then the value 1 makes the most sense, but there are equally good reasons for declaring 0^0 to be an undefined quantity. Regardless, on the GMAT it doesn't matter - you'll never need to worry about it.